Homology (mathematics)
In
mathematics, homology is a certain general procedure to associate a sequence of
abelian groups or modules with a given mathematical object. See homology theory for more background.
For a topological space, the homology groups are generally much easier to compute than the homotopy groups, and consequently one usually will have an easier time working with homology to aid in the classification of spaces.
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Encyclopedia
In
mathematics,
homology is a certain general procedure to associate a sequence of
abelian groups or modules with a given mathematical object. See homology theory for more background.
For a topological space, the homology groups are generally much easier to compute than the homotopy groups, and consequently one usually will have an easier time working with homology to aid in the classification of spaces.
